True. A series is arithmetic if its terms come from an arithmetic sequence.
And a sequence is said to be arithmetic any of its two consecutive terms differ by a fixed difference, common to any consecutive pair.
As you can see, in this case, all terms differ by 2, so the sequence
![6,\ 8,\ 10,\ 12,\ \ldots,\ 4+2n](https://tex.z-dn.net/?f=%206%2C%5C%208%2C%5C%2010%2C%5C%2012%2C%5C%20%5Cldots%2C%5C%204%2B2n%20)
is arithmetic, and thus the series
![6 + 8 + 10 + 12 + \ldots + (4+2n)](https://tex.z-dn.net/?f=%206%20%2B%208%20%2B%2010%20%2B%2012%20%2B%20%5Cldots%20%2B%20%284%2B2n%29%20)
is arithmetic as well.
Answer:
Your answer is
Intercept is = 5
(x,y)= (0,5)
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It is understood without being written that the slope of this line is 1. If we rewrite the point-slope form of the line it would be y-8=1(x-4) where 1 is the slope. We move the -8 over by addition to get y = 1x-4+8, or, simplified, y=x+4, the first choice in your answers.